Quasi-homeomorphisms and measures of finite energy integrals of generalized Dirichlet forms (Q1578871)

The framework of generalized Dirichlet forms was introduced by \textit{W. Stannat} [C. R. Acad. Sci., Paris, Sér. I 319, 1063-1068 (1994; Zbl 0810.60071)]. Generalized Dirichlet forms include both the elliptic Dirichlet forms and the parabolic Dirichlet forms. In this paper, the author first proves that any quasi-regular generalized Dirichlet form is quasi-homeomorphic to a semi-regular generalized Dirichlet form, and then he uses this quasi-homeomorphism to study measures of finite energy integrals of generalized Dirichlet forms.